0
RESEARCH PAPERS

The Thermodynamics of Water Transport From Biological Cells During Freezing

[+] Author and Article Information
O. M. Silvares

Escola Politecnica da Universidade de Sao Paulo, Sao Paulo, Brazil

E. G. Cravalho, W. M. Toscano

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

C. E. Huggins

Harvard Medical School; Blood Bank and Transfusion Service, Massachusetts General Hospital, Boston, Mass.

J. Heat Transfer 97(4), 582-588 (Nov 01, 1975) (7 pages) doi:10.1115/1.3450434 History: Received July 08, 1975; Online August 11, 2010

Abstract

A thermodynamic model for the freezing of biological cells has been developed and has been applied to human erythrocytes. Analytical expressions describing the dynamics of water loss during the several stages of the freezing process have been derived from a cell modeled as an open system surrounded by a membrane permeable to water only. The permeability of the membrane to water is the most significant cell parameter in this process and in the present model, and is assumed to be a function of the temperature and osmolality of the extracellular solution. The resulting set of differential equations describing the cell freezing process is solved numerically for various cooling rates. For cooling rates less than 3000 K/min, erythrocytes lose 95 percent of their intracellular water before the eutectic temperature is reached. For cooling rates greater than 3000 K/min, the fraction of intracellular water remaining at the eutectic temperature is a strong function of cooling rate. The effect of supercooling of the extracellular solution on the kinetics of the cell water loss is also analyzed. As a consequence of the supercooling, the volume of water present intracellularly at a given temperature is substantially greater than when no supercooling occurs. This condition favors intracellular ice formation and is consistent with experimental observations in this laboratory.

Copyright © 1975 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In